Atkin-Lehner |
3+ 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32775b |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-102421875 = -1 · 3 · 57 · 19 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5+ -5 -4 -1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,117,-82] |
[a1,a2,a3,a4,a6] |
Generators |
[2:12:1] |
Generators of the group modulo torsion |
j |
11239424/6555 |
j-invariant |
L |
1.917656442997 |
L(r)(E,1)/r! |
Ω |
1.114576808553 |
Real period |
R |
0.43013106595287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325bf1 6555m1 |
Quadratic twists by: -3 5 |